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Simplifying (7x + -7) * 2 = 8(x + 6) Reorder the terms: (-7 + 7x) * 2 = 8(x + 6) Reorder the terms for easier multiplication: 2(-7 + 7x) = 8(x + 6) (-7 * 2 + 7x * 2) = 8(x + 6) (-14 + 14x) = 8(x + 6) Reorder the terms: -14 + 14x = 8(6 + x) -14 + 14x = (6 * 8 + x * 8) -14 + 14x = (48 + 8x) Solving -14 + 14x = 48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 14x + -8x = 48 + 8x + -8x Combine like terms: 14x + -8x = 6x -14 + 6x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + 6x = 48 + 0 -14 + 6x = 48 Add '14' to each side of the equation. -14 + 14 + 6x = 48 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 48 + 14 6x = 48 + 14 Combine like terms: 48 + 14 = 62 6x = 62 Divide each side by '6'. x = 10.33333333 Simplifying x = 10.33333333
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